Cooking with Calc - Scandinavian Coffee Cake

Shaurya Kalra and Mannan Shukla
original recipe
answer sheet

Ingredients

Process


  1. Find the value of the following: 2x2dx (1/2) ↩︎ ↩︎ ↩︎ ↩︎

  2. Find the closest whole number to the arc length of cos(2x) on [0,π4] (1) ↩︎

  3. Find the value of the absolute maximum of cos3x34 on [0,π2] (1/4) ↩︎

  4. Find the value of 3 multiplied by the radius of convergence of Σn=1(1)nxnn2 (3) ↩︎

  5. Find the value that Σn=1(12)n1 converges to (2) ↩︎ ↩︎ ↩︎

  6. limx12x4+3x34x4+1738 (2/3) ↩︎

  7. Find 20π multiplied by the average value of sec2x on [0,π4] (80) ↩︎

  8. Find the volume using perpendicular rectangular cross sections for 3x2 from [0,43] with a depth of 2 inches (8) ↩︎

  9. Find the speed of a particle with the velocity vector <5t+1,21+t> at t=2 (12) ↩︎

  10. Find the slope of the tangent line of 54x2+34x+1738 at x=225 (45) ↩︎

  11. 11250π2cos(3x)dx (375) ↩︎

  12. Find d2xdy2 of 3x4+9x2+40 at x=13 (30) ↩︎